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Finding the Fourth Proportional to 541.55, 747.41 and 355.19

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Solution

The fourth proportional to 541.55, 747.41 and 355.19 is: 490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.55 : 747.41 = 355.19 : x
  2. Step 2: Convert to fraction form
    541.55/747.41 = 355.19/x
  3. Step 3: Cross multiply
    541.55x = 747.41 × 355.19
  4. Step 4: Simplify right side
    541.55x = 265,472.65
  5. Step 5: Solve for x
    x = 265,472.65/541.55
  6. Step 6: Final answer
    x = 490.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.